Vertex And Standard Form Graphing printable pdf download

Vertex And Standard Form Graphing

Vertex and Standard Form Graphing

Warm Up – Translating Quadratics Discovery Activity

1. a. G raph t he q uadratic p arent f unction �� = ��

u sing t he F reeGraCalc A pp. I nsert a

picture o f i t h ere:

b. W hat i s t he v ertex o f t he p arent f unction? _ ______

2. Graph e ach o f t he f ollowing u sing y our F reeGraCalc A pp. W rite t he c oordinates o f t he

vertex ( double t ap g raph a nd c hoose “ Find m inima a nd m axima” t hen t ap n ear v ertex

graph). I ndicate i n w hich d irection t he g raph m oved c ompared t o t he p arent f unction

and b y h ow m any u nits.

a. �� = (�� + 3)

b. �� = (�� − 7)

c. �� = ��

+ 5

d. �� = ��

− 2

e. �� = −��

f. �� = (�� − 4)

− 3

g. �� = −(�� + 8)

h. �� = (�� + 1)

− 5

i. �� = −(�� − 6)

+ 4

3. Rewrite t he p arent f unction �� = ��

u sing v ertex f orm �� = (�� + ℎ)

+ �� s uch t hat t he

graph i s t ranslated. T hen g raph a ll 3 s imultaneously o n F reeGraCalc a nd i nsert t he

picture:

a. R ight 3 , d own 6

b. F lipped, l eft 3

c. U p 9 , r ight 5

4. Summarize t he e ffects o f ℎ a nd �� w ithin t he f orm �� = (�� + ℎ)

+ �� o n t he g raph o f t he

parent f unction. W hat h appens w hen ℎ i s p ositive? W hat h appens w hen ℎ i s n egative?

What h appens w hen �� i s p ositive? W hat h appens w hen �� i s n egative?

Vertex And Standard Form Graphing